Setting the TTL to 1 second it's a Replace operation. It will appear on the change feed. The key there is, you need to have something in place (Change Feed Processor, Azure Functions) that would react in less than 1 second (read the change and act on it), otherwise it will miss it.
So the amount of seconds to set on the TTL is equal to the amount of seconds it takes to your detection mechanism to pick it up.
Having said that, you can actually turn around the scenario. Why not add a "delete" flag on the document (soft delete), and when it gets picked up by your Change Feed detection mechanism, set the TTL to 0 on it? That would first let you detect the deletion intent and act on it, and then, setting the TTL to 0 would delete the document without a second Change Feed notification.